Answer:
Step-by-step explanation:
Use SOH CAH TOA to recall how the trig functions fit on a triangle
SOH: Sin(Ф)= Opp / Hyp
CAH: Cos(Ф)= Adj / Hyp
TOA: Tan(Ф) = Opp / Adj
7)
now decide which parts we know and what we want to slove for and pick the function that has those in it
we also know that small angle down at the point b/c we can use that the inside of trianle angles add to 180
180 = 75 + 90 + X
15° = X
where x is the angle at that sharp point on the triangle
I want to use that 15° angle in one of the above formulas as it's Opposite of that side we want to know, and also adjcent to that side we know , so i'll pick TOA since it's got all of those in it. Opp = x for this triangle
Tan(15) = Opp / 15
15* Tan(15) = Opp
4.0192 = Opp
so that's x
x = 4.0162 units , what ever they are
8)
the angle is 43° and we know the adjacent side and we want the Hypotenuse , now i'll pic CAH since it's got those pieces in it
Cos(43)= 31 / Hyp
some algebra just to switch Hyp out of the denominator
Hyp = 31 / Cos(43)
some tapping on my calculator
Hyp = 41.714
That's x for the second triangle
x = 41.71 units , what ever they are
:)
2+12a. When adding, you're only collecting "like terms".
Answer:
I think that it’s correct
Step-by-step explanation:
Answer:
Step-by-step explanation:
We are solving for 
in the equation:
First, isolate the variable term by subtracting 
from both sides of the equation:
Now, divide both sides of the equation by the coefficient of :
This solution for , as a decimal, would be non-terminating. If you divided 
into 
, you would get the non-terminating decimal of:
Therefore, our solution is:
-
We can check our solution by substituting 
for in the initial equation:
Substitute:
Simplify 
:
Add:
Since both sides of the equation are equal, our solution is correct!
